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Finding the Fourth Proportional to 4,602.07, 6,899.20 and 1,830.70

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Solution

The fourth proportional to 4,602.07, 6,899.20 and 1,830.70 is: 2,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.07 : 6,899.20 = 1,830.70 : x
  2. Step 2: Convert to fraction form
    4,602.07/6,899.20 = 1,830.70/x
  3. Step 3: Cross multiply
    4,602.07x = 6,899.20 × 1,830.70
  4. Step 4: Simplify right side
    4,602.07x = 12,630,365.44
  5. Step 5: Solve for x
    x = 12,630,365.44/4,602.07
  6. Step 6: Final answer
    x = 2,744.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.